Subject: Mathematics for Engineering Graphics (17 - IGA008)


Basic Information

CategoryAcademic-general educative
Scientific or art field:Teorijska i primenjena matematika
Interdisciplinaryyes
ECTS9
Native organizations units

Department of Fundamentals Sciences
Course specification

Course is active from 01.10.2010..

In the course students will get introduced to the mathematical contents which are the basis for solving problems in the field of animation and computer graphics. The emphasis is on the connection of practical contents and concepts students are dealing with in other courses within this master programme with the mathematical formulation of those concepts.
Acquisition of complete knowledge about problems, tools and methods within engineering graphics and animation; understanding theoretical – mathematical basis in this field and the practical use.
Linear transformations of vector spaces. Change of base. Algebraic and geometric interpretation in the plane and the space. Affine and perspective geometry. Homogenous coordinates. Translation. Projection. Orthogonal matrices. Euler angles. Quaternions. Curves in the plane. Conic sections. Curves in the space. Displaying and generating surfaces. Rotational and other surfaces. Mapping of the surface. Main topological properties of 2D and 3D objects. Polynomial curve interpolation. Hermite curves, Bezier curves, Bernstein base. Splines. Surface interpolation.
Lectures and auditory practice. Parts of the practice can be organized in the computer laboratory. Consultations.
AuthorsNameYearPublisherLanguage
Nataša Matić Sladojematematika za inženjersku grafiku - skripta sa predavanja2010Fakultet tehničkih nauka, Novi SadSerbian language
David F. Rogers, J. Alan AdamsMathematical Elements for Computer Graphics1990McGraw-Hill Publishing CompanyEnglish
Michael E. MortensonMathematics for Computer Graphics Applications1999Industrial Press, Inc. New YorkEnglish
Vince, J.Mathematics for Computer Graphics2017SpringerEnglish
Course activity Pre-examination ObligationsNumber of points
Project taskYesYes15.00
Project taskYesYes15.00
Written part of the exam - tasks and theoryNoYes40.00
Term paperYesYes20.00
Oral part of the examNoYes10.00
Name and surnameForm of classes
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Čomić Lidija
Associate Professor

Lectures
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Delić Marija
Assistant Professor

Practical classes
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Erić Mirjana
Assistant - Master

Practical classes